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0.70(100+5t)=200+3t
We move all terms to the left:
0.70(100+5t)-(200+3t)=0
We add all the numbers together, and all the variables
0.70(5t+100)-(3t+200)=0
We multiply parentheses
3.5t-(3t+200)+70=0
We get rid of parentheses
3.5t-3t-200+70=0
We add all the numbers together, and all the variables
0.5t-130=0
We move all terms containing t to the left, all other terms to the right
0.5t=130
t=130/0.5
t=260
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